Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 130482: I am lost on this math. Please help. Thank you
f(x)=-2x^2+2x+3
The x-coordinate of the vertex is.....
Click here to see answer by edjones(8007)

Question 130473: Solve for x: 2log(3x)-log(8x+1)=log x I think the answer is x=0,1/2 ????
Click here to see answer by edjones(8007)

Question 130489: Given f(x)=3(4)(^x-3)+8, what is the value of x when f(x)=14??? I think the answer is 3.5??????????
Click here to see answer by edjones(8007)

Question 130488: Simplify: (2x(^-2)-y^-1)^-1 I think the answer is 1/2x^2-y???????????
Click here to see answer by edjones(8007)

Question 130470: What is 1/3log(8A)^3 + 1/2logB-9logC expressed as a single log ?
Click here to see answer by edjones(8007)

Question 130485: and this problem also. Thank you so much..
f(x)=2x^2-8x+3
What is the vertex
Click here to see answer by checkley71(8403)

Question 130592: the sum of two numbers is 12. three times the product of the numbers is 105. what re the twoo numbers?
Click here to see answer by checkley71(8403)

Question 130597: a rectangle is four times as long as it is wide. its area is 9 square meters. what is it dimensions?
Click here to see answer by solver91311(24713)

Question 130599: Please help me solve this equation: the area of a frame is equal to the area of 4"x6" photo it surrounds. the frame is of uniform width. how wide is the frame?
Click here to see answer by ilana(307)

Question 130649: I have having great difficuly with these worded problems, your help would be greatly appreciated. Thank you.
It asks me:
To solve the following word problem using quadratic equation:
Then goes on to state:
Find the dimensions of a rectangular field that has a perimeter of 724m and an area of 32400m^2.
Thank you.
Cheers D.
Click here to see answer by stanbon(75887)

Question 130654: (4x^4 z^2)^5 (x^3 yz^2)^4
Click here to see answer by stanbon(75887)

Question 130654: (4x^4 z^2)^5 (x^3 yz^2)^4
Click here to see answer by mandymae(2)

Question 130636: IN MY ALGEBRA 2 BOOK ON PAGE 296 I'M HAVING A HARD TIME UNDERSTANDING HOW I FIND THE SOLUTION. THE SOLUTION FUNCITON IS, X=-b+ - SQUARE UNDER b SQ. 2 -4ac/2a.okay now how do I fiqure out the solution? I'm stuck at this p.for ex.x sq.2 minus 4x + 10=0,using the discriminant function i've got ( -4)sq.2 -4(1)(10)=24.i know how to set the solution function up (X=-b+ - SQUARE UNDER b SQ. 2 -4ac/2a) x=-4+ - sq.root4 sq.2 minus 4(1)(10). now where do i go from there.i don't understand how to first solve it. do i use a calculator for that part or not?
well I reallywould appreciate if you can help me out with my problem , it would mean alot to me, since my test on this is on friday, at my school!
thanks!
Click here to see answer by Earlsdon(6294)

Question 130669: Two types of bacteria are grown in a lab and their populations studied. One population initially contained 320 spores and was found to triple in size every 12 days. The second population initially contained 800 spores and has a half-life of 8 days. After how many days will the two bacteria cultures have the same number of spores?
Click here to see answer by stanbon(75887)

Question 130665: Steven invests $2000 into a GIC which will double every five years, wheras Dana invests $1000 into a GIC which will triple evry three years. How many years will pass before they have the same amount of money?
Click here to see answer by Edwin McCravy(20054)

Question 130696: I am really having a hard time trying to figure out this problem... √ -x+7 = x-1
Click here to see answer by edjones(8007)

Question 130688: square root of x+5+2=square root of 6x+2

Click here to see answer by edjones(8007)

Question 130616: Please help me solve this equation: a playground is 25m x 40m. it is surrounded by a paved skating path of uniform width. the combined area of the playground and path is 1,426 square meters. how wide is the path?
Click here to see answer by ptaylor(2198)

Question 130322: can you assist me with the following problems
1. determin wether the system has one solution, no solution or infinitely solution. y=2/3x and 2x-y=-4
2.use elimination to solve x/2 + 2y =9 and 2x-y =18
3. use elimination to solved. 4x-y=-3 and sx+2y = -20
4.find the solution of the system y=x2+5 and y = 2x+4
Click here to see answer by cngriffith(27)

Question 130753: Solve by completing the square

Click here to see answer by jim_thompson5910(35256)

Question 130754: Find the vertex and line of symmetry

Click here to see answer by jim_thompson5910(35256)

Question 130755: Find the exact and approximate solutions to
Click here to see answer by jim_thompson5910(35256)

Question 130756: Find the exact solutions to
Click here to see answer by jim_thompson5910(35256)

Question 130757: Using , find the x-coordinate of the vertex and the equation of the line of symmetry.
Click here to see answer by jim_thompson5910(35256)

Question 130759: Using , find the vertex, the equation of the line of symmetry, and the max/min value of f(x).
Click here to see answer by jim_thompson5910(35256)

Question 130760: Solve

Find the x-intercepts of
Click here to see answer by jim_thompson5910(35256)

Question 130761: Find the vertex and the equation of the line of symmetry for
Click here to see answer by jim_thompson5910(35256)

Question 130764: Solve by completing the square.
x^2 - 16x = 10
I tried using one of the solvers and it didn't seem to work for this problem.
Click here to see answer by edjones(8007)

Question 130765: Solve by completing the square.
x^2 +2x - 63 = 0
I got (7, -9) which doesn't appear to be correct. Can you help me?
Click here to see answer by edjones(8007)

Question 130762: How would you factor out the gcf of 3x^5 - 9x^4 + 21x^3?
I took out 3x^3 to get x^2-3x+7
However I am supposed to type it in factor form, so then what would the answer be?

Click here to see answer by edjones(8007)

Question 130770: The flower garden has the shape of a right triangle. 20 ft. of a perennial border forms the hypotenuse of the triangle, and one leg is 4 ft longer than the other leg. Find the lengths of the legs.

I was trying to set up using the pythagorean theorem and for some reason my answers keeps coming up as incorrect.
Setting up the problem as:

Am I doing something wrong?
Click here to see answer by solver91311(24713)

Question 130767: Solve x^2 + 7x -2 = 0
And, then find the x-intercepts of f(x) = x^2 + 7x - 2.
I appreciate the help, I am struggling with these problems and they do not come from a textbook.
Click here to see answer by jim_thompson5910(35256)

Question 130792: im doing an assignment about equations, but i found one problem. my problem was found in this one:
FIND TWO POSITIVE NUMBERS WHOSE SUM IS 100 AND WHOSE PRODUCT IS AS LARGE AS POSSIBLE.
please help me, i must get my assignment done. thanx a lot! Sandra
Click here to see answer by checkley71(8403)

Question 130813:
please answer me one more question if its possible. my new problem is
FIND THE HEIGHT AND BASE OF A TRIANGLE IF THEIR SUM IS 20 AND THEIR AREA IS A MAXIMUM.

i rlly dont get maximum and minimum values. what does that mean? and whats the difference when it says minimum or maximum. how can i set it up?
thanx truly
Click here to see answer by checkley71(8403)

Question 130619: Please help me solve this equation: one leg of a right triangle is 3 cm more than half the length of the other eg. the area of the triangle is 54cm^2. how long are each of the legs?
Click here to see answer by scott8148(6628)

Question 130706: Hello
I was wondering if you would be able to assist me please. I am given a quadratic problem, and was hoping you could show me how to set this out from the start. The worded ones always trouble me.
It goes like this:
If the profit $P for manufacturing x articles is given by P=140+60x-3x^2. How many such articles (x) should be manufactured for maximum profit? How much is the profit?
Thank you so very much.
Click here to see answer by scott8148(6628)

Question 130837: melinda's dad is 30 years older than melinda is now. eight years ago, his age was equal to the square of melinda's age then. how old is melinda now?
Click here to see answer by solver91311(24713)

Question 130878: Solve.
w^4 - 4w^2 - 2 = 0
What is the solution? w = _____
Click here to see answer by stanbon(75887)

Question 130911: These worded problems are killing me. Please assist me in making this a quadratic equation. Thank you.
It states:
Find the radius of a 12 cm high cylinder that has a surface area of 846cm^2.
Thank you so very much.
Click here to see answer by stanbon(75887)

Question 130920: "how do I convert this problem to a decimal notation? 8.55*10^7"
Click here to see answer by stanbon(75887)

Question 130935:
Click here to see answer by SHUgrad05(58)

Question 130951: Give exact and approximate solutions to 3 decimal places.

The exact solutions are:
The approximate solutions to 3 decimal places are:

Click here to see answer by solver91311(24713)

Question 130952: Solve for x.
1/x + 1/x+16 = 1/15
Click here to see answer by solver91311(24713)

Question 130952: Solve for x.
1/x + 1/x+16 = 1/15
Click here to see answer by checkley71(8403)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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